In [1]:
import warnings
warnings.filterwarnings("ignore")
In [2]:
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
In [3]:
pd.set_option('display.max_columns', None)
In [4]:
data = pd.read_csv("data_x.csv")
data
Out[4]:
id Tract_number zip_code Year state Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
0 1 1001020100 36067.0 2012 Alabama 195.0 2 1764 121500.0 1812 25 39 56500.0 1206 502.0 1550 203 357 724 289 242 98 105 55 27 0
1 2 1001020200 36067.0 2012 Alabama 222.0 2 2074 130500.0 2218 25 37 41250.0 1442 638.0 1317 722 311 893 180 367 144 220 79 49 0
2 3 1001020300 36067.0 2012 Alabama 261.0 2 3103 118700.0 3155 31 36 43088.0 2082 734.0 2451 643 551 1361 334 450 310 217 183 51 29
3 4 1001020400 36067.0 2012 Alabama 764.0 2 4329 133500.0 4337 26 42 54503.0 2998 974.0 3391 915 848 1851 547 596 250 325 192 159 38
4 5 1001020500 36066.0 2012 Alabama 540.0 2 10431 174500.0 10498 29 32 65027.0 6351 895.0 6901 3499 1815 4114 1409 2304 859 1036 499 323 57
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
511387 438332 56029965500 82414.0 2017 Wyoming 349.0 2 4559 222100.0 4642 25 42 54656.0 3271 750.0 3289 1258 831 2090 710 757 801 507 517 123 14
511388 438333 56029965400 82414.0 2017 Wyoming 320.0 2 5844 228100.0 5910 22 43 59470.0 4117 820.0 3935 1772 936 2867 730 913 547 661 452 80 16
511389 438334 56029965300 82450.0 2017 Wyoming 569.0 2 7046 314900.0 7214 19 50 68531.0 5598 713.0 5450 1561 1122 4200 620 1406 452 886 314 64 38
511390 438335 56035000102 82941.0 2017 Wyoming 227.0 2 6260 282400.0 6284 17 38 88672.0 4603 1128.0 4708 1522 1016 3737 447 1584 536 552 209 133 5
511391 438336 56035000101 82922.0 2017 Wyoming 271.0 3 3654 225300.0 3753 18 36 75545.0 2448 985.0 2689 947 365 2216 258 619 178 248 180 41 48

511392 rows × 26 columns

In [5]:
data.info()

<class 'pandas.core.frame.DataFrame'>
RangeIndex: 511392 entries, 0 to 511391
Data columns (total 26 columns):
 #   Column                                                    Non-Null Count   Dtype  
---  ------                                                    --------------   -----  
 0   id                                                        511392 non-null  int64  
 1   Tract_number                                              511392 non-null  int64  
 2   zip_code                                                  508357 non-null  float64
 3   Year                                                      511392 non-null  int64  
 4   state                                                     511392 non-null  object 
 5   Unweighted Sample Count of the population                 510464 non-null  float64
 6   Avg household size of occupied housing units              511392 non-null  int64  
 7   Total population in occupied housing units                511392 non-null  int64  
 8   Median Estimated Home Value(owner occupied units)         511047 non-null  float64
 9   Total Population                                          511392 non-null  int64  
 10  Median Gross rent as % of household inc                   511392 non-null  int64  
 11  Median Age                                                511392 non-null  int64  
 12  Median Household Income                                   511320 non-null  float64
 13  Total Population over 25                                  511392 non-null  int64  
 14  Median Gross Rent                                         510923 non-null  float64
 15  Homeowner households                                      511392 non-null  int64  
 16  Renter households                                         511392 non-null  int64  
 17  Housing units with mortgage                               511392 non-null  int64  
 18  Total housing Units                                       511392 non-null  int64  
 19  Number of Sales and office workers                        511392 non-null  int64  
 20  Number of people in management business science and arts  511392 non-null  int64  
 21  Number of service workers                                 511392 non-null  int64  
 22  Number of educational and health service workers          511392 non-null  int64  
 23  Number of artsentertainment and food service workers      511392 non-null  int64  
 24  Number of finance and real estate workers                 511392 non-null  int64  
 25  Number of tech workers                                    511392 non-null  int64  
dtypes: float64(5), int64(20), object(1)
memory usage: 101.4+ MB
In [6]:
data.describe()
Out[6]:
id Tract_number zip_code Year Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
count 511392.000000 5.113920e+05 508357.000000 511392.000000 510464.000000 511392.000000 511392.000000 5.110470e+05 511392.000000 511392.000000 511392.000000 511320.000000 511392.000000 510923.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000 511392.000000
mean 245259.928571 2.782602e+10 50689.436068 2014.857143 355.655135 2.129124 4214.901758 2.252238e+05 4325.183785 30.206405 38.080529 57955.964967 2889.436978 986.262147 2749.812490 1413.807561 669.422537 1827.629609 473.524826 721.872456 352.438462 448.481026 186.095887 130.312785 41.973993
std 133687.409974 1.581001e+10 29262.662964 1.807018 187.964759 0.591227 2122.779132 1.970134e+05 2130.207678 9.164117 8.495961 29842.325940 1403.788143 446.398766 1802.200199 1135.065639 473.430636 866.268775 286.956461 570.382097 221.873957 280.688857 149.297336 124.953420 51.307240
min 1.000000 1.001020e+09 1001.000000 2012.000000 0.000000 0.000000 0.000000 0.000000e+00 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
25% 127848.750000 1.212708e+10 27530.000000 2013.000000 254.000000 2.000000 2798.000000 1.030000e+05 2891.000000 25.000000 33.000000 38264.000000 1941.000000 696.000000 1503.000000 607.000000 339.000000 1256.000000 274.000000 327.000000 200.000000 257.000000 89.000000 49.000000 10.000000
50% 255696.500000 2.712304e+10 48104.000000 2015.000000 321.000000 2.000000 3959.000000 1.644000e+05 4062.000000 29.000000 38.000000 51843.000000 2730.000000 893.000000 2492.000000 1124.000000 591.000000 1722.000000 426.000000 580.000000 311.000000 399.000000 152.000000 97.000000 27.000000
75% 374412.250000 4.103597e+10 77428.000000 2017.000000 406.000000 2.000000 5318.000000 2.810000e+05 5436.000000 35.000000 43.000000 71250.000000 3647.000000 1192.000000 3681.000000 1915.000000 905.000000 2283.000000 617.000000 973.000000 456.000000 582.000000 242.000000 175.000000 57.000000
max 438336.000000 5.604595e+10 99928.000000 2017.000000 6289.000000 14.000000 65345.000000 2.000001e+06 65528.000000 50.000000 91.000000 250001.000000 39486.000000 3501.000000 56365.000000 22309.000000 12672.000000 26526.000000 6131.000000 18936.000000 4007.000000 9073.000000 5123.000000 2947.000000 1142.000000

number of zipcodes in the dataset is 21954

In [7]:
len(data['zip_code'].unique())
Out[7]:
21954
In [8]:
# take one zip code out and check the values associated with it
data[data['zip_code'] == 36067.0]
Out[8]:
id Tract_number zip_code Year state Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
0 1 1001020100 36067.0 2012 Alabama 195.0 2 1764 121500.0 1812 25 39 56500.0 1206 502.0 1550 203 357 724 289 242 98 105 55 27 0
1 2 1001020200 36067.0 2012 Alabama 222.0 2 2074 130500.0 2218 25 37 41250.0 1442 638.0 1317 722 311 893 180 367 144 220 79 49 0
2 3 1001020300 36067.0 2012 Alabama 261.0 2 3103 118700.0 3155 31 36 43088.0 2082 734.0 2451 643 551 1361 334 450 310 217 183 51 29
3 4 1001020400 36067.0 2012 Alabama 764.0 2 4329 133500.0 4337 26 42 54503.0 2998 974.0 3391 915 848 1851 547 596 250 325 192 159 38
5 6 1001020600 36067.0 2012 Alabama 252.0 3 3490 129600.0 3490 28 37 52639.0 2136 687.0 2791 662 606 1377 571 389 237 232 89 98 0
6 7 1001020700 36067.0 2012 Alabama 221.0 2 2872 104200.0 2889 32 37 39427.0 1955 724.0 2038 817 475 1244 280 300 253 274 77 70 35
7 8 1001020801 36067.0 2012 Alabama 209.0 3 3192 292800.0 3192 31 39 78587.0 1916 675.0 2774 369 520 1113 482 539 270 350 153 120 11
73056 73057 1001020100 36067.0 2013 Alabama 208.0 2 1777 124800.0 1808 25 38 63030.0 1162 525.0 1498 271 312 700 202 291 130 95 70 2 4
73057 73058 1001020200 36067.0 2013 Alabama 249.0 2 2198 129200.0 2355 33 36 44019.0 1486 704.0 1437 719 346 882 198 313 168 211 62 45 0
73058 73059 1001020300 36067.0 2013 Alabama 264.0 2 3023 113800.0 3057 33 41 43201.0 2143 774.0 2475 531 567 1354 354 433 381 202 215 51 21
73059 73060 1001020400 36067.0 2013 Alabama 643.0 2 4403 130500.0 4403 25 42 54730.0 3052 1115.0 3459 932 865 1857 572 598 279 277 257 118 54
73061 73062 1001020600 36067.0 2013 Alabama 270.0 2 3408 128900.0 3408 27 36 49427.0 2141 762.0 2505 849 556 1431 553 313 279 165 91 94 0
73062 73063 1001020700 36067.0 2013 Alabama 230.0 2 2716 98800.0 2744 35 36 44792.0 1818 643.0 1971 709 418 1227 247 314 345 249 184 25 21
73063 73064 1001020801 36067.0 2013 Alabama 239.0 3 3310 269000.0 3310 41 35 73714.0 1923 869.0 2490 781 473 1093 433 471 262 275 124 79 0
146209 146210 1001020100 36067.0 2014 Alabama 232.0 2 1884 132400.0 1900 27 38 60000.0 1209 738.0 1411 464 296 714 216 307 119 114 73 13 6
146210 146211 1001020200 36067.0 2014 Alabama 261.0 2 2175 110300.0 2342 30 36 42971.0 1547 746.0 1355 816 339 855 202 312 171 163 128 44 24
146211 146212 1001020300 36067.0 2014 Alabama 264.0 2 3279 109400.0 3297 34 36 43717.0 2101 823.0 2373 861 577 1409 363 422 352 278 187 32 16
146212 146213 1001020400 36067.0 2014 Alabama 499.0 2 4272 132700.0 4272 25 41 55814.0 2928 1110.0 3150 1075 818 1868 498 530 301 260 230 125 34
146214 146215 1001020600 36067.0 2014 Alabama 267.0 3 3782 138800.0 3782 26 35 56985.0 2400 734.0 2732 969 621 1442 600 374 240 170 170 95 0
146215 146216 1001020700 36067.0 2014 Alabama 232.0 2 2765 99300.0 2799 34 34 37137.0 1802 756.0 1880 844 394 1198 253 312 313 252 158 33 0
146216 146217 1001020801 36067.0 2014 Alabama 248.0 2 3096 252400.0 3096 40 44 72917.0 2183 678.0 2607 483 537 1220 392 578 284 245 140 163 8
220111 220112 1001020100 36067.0 2015 Alabama 251.0 2 1948 149100.0 1948 29 38 61838.0 1243 719.0 1400 538 310 724 201 316 146 93 79 19 19
220112 220113 1001020200 36067.0 2015 Alabama 274.0 2 1983 97900.0 2156 33 35 32303.0 1397 805.0 1225 754 270 806 162 183 186 163 105 19 18
220113 220114 1001020300 36067.0 2015 Alabama 252.0 2 2968 110600.0 2968 32 40 44922.0 2074 738.0 2070 864 519 1397 303 431 342 324 114 24 29
220114 220115 1001020400 36067.0 2015 Alabama 375.0 2 4423 134700.0 4423 24 39 54329.0 2899 1095.0 3542 836 842 1837 482 466 370 287 236 56 23
220116 220117 1001020600 36067.0 2015 Alabama 257.0 3 3851 122800.0 3851 23 32 63092.0 2356 784.0 2687 1089 635 1404 553 393 265 187 209 76 0
220117 220118 1001020700 36067.0 2015 Alabama 234.0 2 2715 94100.0 2761 38 36 34821.0 1804 678.0 1761 916 423 1236 269 227 345 212 196 16 0
220118 220119 1001020801 36067.0 2015 Alabama 273.0 2 3187 286800.0 3187 35 43 73728.0 2199 658.0 2606 575 569 1121 513 643 173 278 142 181 6
292877 292878 1001020100 36067.0 2016 Alabama 245.0 2 2010 152300.0 2010 37 40 66000.0 1298 783.0 1406 589 354 751 190 339 168 118 98 25 22
292878 292879 1001020200 36067.0 2016 Alabama 267.0 2 2019 95300.0 2196 32 38 41107.0 1463 743.0 1362 653 330 890 212 244 210 198 128 40 16
292879 292880 1001020300 36067.0 2016 Alabama 258.0 2 3136 113800.0 3136 32 38 51250.0 2222 817.0 2258 850 582 1422 371 375 345 302 120 22 74
292880 292881 1001020400 36067.0 2016 Alabama 371.0 2 4563 134400.0 4563 27 42 52704.0 3081 978.0 3698 811 914 1951 468 501 348 251 213 88 35
292882 292883 1001020600 36067.0 2016 Alabama 247.0 2 3742 109100.0 3742 23 37 63750.0 2460 784.0 2749 924 698 1482 548 377 265 154 175 95 0
292883 292884 1001020700 36067.0 2016 Alabama 204.0 2 2987 93500.0 3047 41 32 45234.0 1895 695.0 2099 809 516 1244 343 324 332 255 168 56 10
292884 292885 1001020801 36067.0 2016 Alabama 300.0 2 3025 288700.0 3025 44 44 74603.0 2020 688.0 2297 720 542 1146 481 581 119 248 106 121 6
365296 365297 1001020801 36067.0 2017 Alabama 272.0 2 2913 299100.0 2913 46 44 80089.0 2003 744.0 2345 558 560 1185 419 607 141 222 98 87 1
365629 365630 1001020200 36067.0 2017 Alabama 250.0 2 1977 96100.0 2172 33 39 41287.0 1466 735.0 1258 716 252 878 195 260 219 232 163 12 15
365633 365634 1001020300 36067.0 2017 Alabama 282.0 2 3385 98900.0 3385 36 37 46806.0 2331 882.0 2333 1015 583 1443 493 413 287 283 106 161 61
365635 365636 1001020100 36067.0 2017 Alabama 239.0 2 1845 152500.0 1845 41 40 67826.0 1259 780.0 1314 528 292 765 201 335 133 123 85 25 21
365637 365638 1001020400 36067.0 2017 Alabama 358.0 2 4267 140800.0 4267 25 43 55895.0 2959 924.0 3374 831 870 1940 477 526 307 230 167 78 18
365638 365639 1001020600 36067.0 2017 Alabama 251.0 2 3620 93300.0 3620 29 38 44549.0 2393 746.0 2571 1000 599 1427 395 324 336 225 245 33 0
365639 365640 1001020700 36067.0 2017 Alabama 218.0 2 3347 90800.0 3420 38 31 41250.0 2061 776.0 2015 1240 509 1374 299 360 497 266 292 72 12
438352 365297 1001020801 36067.0 2017 Alabama 272.0 2 2913 299100.0 2913 46 44 80089.0 2003 744.0 2345 558 560 1185 419 607 141 222 98 87 1
438685 365630 1001020200 36067.0 2017 Alabama 250.0 2 1977 96100.0 2172 33 39 41287.0 1466 735.0 1258 716 252 878 195 260 219 232 163 12 15
438689 365634 1001020300 36067.0 2017 Alabama 282.0 2 3385 98900.0 3385 36 37 46806.0 2331 882.0 2333 1015 583 1443 493 413 287 283 106 161 61
438691 365636 1001020100 36067.0 2017 Alabama 239.0 2 1845 152500.0 1845 41 40 67826.0 1259 780.0 1314 528 292 765 201 335 133 123 85 25 21
438693 365638 1001020400 36067.0 2017 Alabama 358.0 2 4267 140800.0 4267 25 43 55895.0 2959 924.0 3374 831 870 1940 477 526 307 230 167 78 18
438694 365639 1001020600 36067.0 2017 Alabama 251.0 2 3620 93300.0 3620 29 38 44549.0 2393 746.0 2571 1000 599 1427 395 324 336 225 245 33 0
438695 365640 1001020700 36067.0 2017 Alabama 218.0 2 3347 90800.0 3420 38 31 41250.0 2061 776.0 2015 1240 509 1374 299 360 497 266 292 72 12

Data Preprocessing

  1. drop duplicates
In [9]:
len(data)
Out[9]:
511392
In [10]:
data.drop_duplicates(keep="first", inplace=True)
In [11]:
len(data)
Out[11]:
438336
  1. drop missing value
In [12]:
data[pd.isnull(data['zip_code'])]
Out[12]:
id Tract_number zip_code Year state Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
43 44 1003990000 NaN 2012 Alabama 0.0 0 0 0.0 0 0 0 0.0 0 0.0 0 0 0 0 0 0 0 0 0 0 0
497 498 1097990000 NaN 2012 Alabama 0.0 0 0 0.0 0 0 0 0.0 0 0.0 0 0 0 0 0 0 0 0 0 0 0
1277 1278 2105000200 NaN 2012 Alaska 36.0 2 129 217500.0 129 50 37 54792.0 84 1688.0 119 10 20 88 6 36 4 31 6 0 3
1353 1354 4001944202 NaN 2012 Arizona 205.0 3 3665 47500.0 3842 10 35 22845.0 2517 192.0 3333 292 162 1553 145 207 257 346 80 0 27
1356 1357 4001944902 NaN 2012 Arizona 1000.0 4 5559 54800.0 5628 18 31 22170.0 3171 435.0 4538 908 195 2414 251 291 350 545 95 29 0
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
437698 437699 55071990000 NaN 2017 Wisconsin 0.0 0 0 0.0 0 0 0 0.0 0 0.0 0 0 0 0 0 0 0 0 0 0 0
437700 437701 55083990000 NaN 2017 Wisconsin 0.0 0 0 0.0 0 0 0 0.0 0 0.0 0 0 0 0 0 0 0 0 0 0 0
437701 437702 55061990000 NaN 2017 Wisconsin 0.0 0 0 0.0 0 0 0 0.0 0 0.0 0 0 0 0 0 0 0 0 0 0 0
437748 437749 55101980000 NaN 2017 Wisconsin 179.0 1 56 225000.0 803 18 52 85417.0 730 1317.0 27 29 3 45 3 9 8 7 0 0 1
437749 437750 55101990000 NaN 2017 Wisconsin 0.0 0 0 0.0 0 0 0 0.0 0 0.0 0 0 0 0 0 0 0 0 0 0 0

2600 rows × 26 columns

I decided to directly drop missing values, if I have more time, I would investigate each column, and decide the best way to impute the missing value

In [13]:
data.dropna(inplace=True)
In [14]:
len(data)
Out[14]:
434130
In [15]:
data[pd.isnull(data['zip_code'])]
Out[15]:
id Tract_number zip_code Year state Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
  1. group track number by zipcode, year and state, since zipcode and tract number is one to many relationships

Census tract is the uniquely numbered in each county with a numeric code.

use sum and mean to get aggregation value

In [16]:
#first sum all the values over rows
newData = data.groupby(['zip_code','state', 'Year']).sum()
newData
Out[16]:
id Tract_number Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
zip_code state Year
1001.0 Massachusetts 2012 126836 100055252828 1418.0 8 19501 897400.0 20043 98 174 276970.0 14731 3553.0 16204 3166 4597 8486 3114 3756 1641 2447 729 937 260
2013 421212 100055252828 1413.0 8 19405 890800.0 19968 112 177 268467.0 14667 3336.0 15606 3673 4403 8470 3156 3411 1638 2329 788 1049 323
2014 712368 100055252828 1454.0 8 19725 888000.0 20315 112 178 260051.0 14916 3670.0 15901 3678 4455 8539 3010 3419 1544 2217 696 952 353
2015 1004164 100055252828 1482.0 8 19905 857900.0 20518 116 178 254282.0 15123 3713.0 15923 3811 4208 8483 2885 3690 1581 2446 725 956 313
2016 1296996 100055252828 1479.0 8 20133 848900.0 20714 124 179 252970.0 15262 3066.0 15954 4069 4185 8569 2629 3718 1624 2616 815 856 209
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
99928.0 Alaska 2013 74359 2130000100 409.0 2 3495 309900.0 3523 27 43 85179.0 2511 1322.0 2747 722 690 1701 351 652 241 363 136 121 6
2014 147400 2130000100 477.0 2 3450 298600.0 3472 26 44 82286.0 2497 1258.0 2652 774 617 1643 386 581 219 350 78 113 17
2015 220456 2130000100 544.0 2 3406 288400.0 3417 23 44 84417.0 2462 1173.0 2796 580 699 1661 335 604 235 381 53 110 21
2016 293423 2130000100 608.0 2 3451 296500.0 3459 23 43 82194.0 2398 1266.0 2798 619 718 1694 410 613 229 373 81 111 35
2017 366506 2130000100 617.0 2 3475 296600.0 3482 29 44 82532.0 2443 1418.0 2815 600 734 1698 458 586 238 329 83 122 41

131526 rows × 23 columns

In [17]:
newData.columns
Out[17]:
Index(['id', 'Tract_number', 'Unweighted Sample Count of the population',
       'Avg household size of occupied housing units',
       'Total population in occupied housing units',
       'Median Estimated Home Value(owner occupied units)', 'Total Population',
       'Median Gross rent as % of household inc', 'Median Age',
       'Median Household Income', 'Total Population over 25',
       'Median Gross Rent', 'Homeowner households', 'Renter households',
       'Housing units with mortgage', 'Total housing Units',
       'Number of Sales and office workers',
       'Number of people in management business science and arts',
       'Number of service workers',
       'Number of educational and health service workers',
       'Number of artsentertainment and food service workers',
       'Number of finance and real estate workers', 'Number of tech workers'],
      dtype='object')
In [18]:
#find the columns which need to be averaged
avg_cols = [ 'Avg household size of occupied housing units','Median Estimated Home Value(owner occupied units)','Median Gross rent as % of household inc', 'Median Age',
       'Median Household Income','Median Gross Rent']
In [19]:
newData[avg_cols] = data.groupby(['zip_code','state', 'Year']).mean()[avg_cols]
In [20]:
newData
Out[20]:
id Tract_number Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
zip_code state Year
1001.0 Massachusetts 2012 126836 100055252828 1418.0 2.0 19501 224350.0 20043 24.5 43.50 69242.50 14731 888.25 16204 3166 4597 8486 3114 3756 1641 2447 729 937 260
2013 421212 100055252828 1413.0 2.0 19405 222700.0 19968 28.0 44.25 67116.75 14667 834.00 15606 3673 4403 8470 3156 3411 1638 2329 788 1049 323
2014 712368 100055252828 1454.0 2.0 19725 222000.0 20315 28.0 44.50 65012.75 14916 917.50 15901 3678 4455 8539 3010 3419 1544 2217 696 952 353
2015 1004164 100055252828 1482.0 2.0 19905 214475.0 20518 29.0 44.50 63570.50 15123 928.25 15923 3811 4208 8483 2885 3690 1581 2446 725 956 313
2016 1296996 100055252828 1479.0 2.0 20133 212225.0 20714 31.0 44.75 63242.50 15262 766.50 15954 4069 4185 8569 2629 3718 1624 2616 815 856 209
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
99928.0 Alaska 2013 74359 2130000100 409.0 2.0 3495 309900.0 3523 27.0 43.00 85179.00 2511 1322.00 2747 722 690 1701 351 652 241 363 136 121 6
2014 147400 2130000100 477.0 2.0 3450 298600.0 3472 26.0 44.00 82286.00 2497 1258.00 2652 774 617 1643 386 581 219 350 78 113 17
2015 220456 2130000100 544.0 2.0 3406 288400.0 3417 23.0 44.00 84417.00 2462 1173.00 2796 580 699 1661 335 604 235 381 53 110 21
2016 293423 2130000100 608.0 2.0 3451 296500.0 3459 23.0 43.00 82194.00 2398 1266.00 2798 619 718 1694 410 613 229 373 81 111 35
2017 366506 2130000100 617.0 2.0 3475 296600.0 3482 29.0 44.00 82532.00 2443 1418.00 2815 600 734 1698 458 586 238 329 83 122 41

131526 rows × 23 columns

  1. drop tract number and id
In [21]:
newData.drop(['Tract_number','id'], axis=1, inplace=True)
In [22]:
newData.reset_index(inplace=True)
In [23]:
newData
Out[23]:
zip_code state Year Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
0 1001.0 Massachusetts 2012 1418.0 2.0 19501 224350.0 20043 24.5 43.50 69242.50 14731 888.25 16204 3166 4597 8486 3114 3756 1641 2447 729 937 260
1 1001.0 Massachusetts 2013 1413.0 2.0 19405 222700.0 19968 28.0 44.25 67116.75 14667 834.00 15606 3673 4403 8470 3156 3411 1638 2329 788 1049 323
2 1001.0 Massachusetts 2014 1454.0 2.0 19725 222000.0 20315 28.0 44.50 65012.75 14916 917.50 15901 3678 4455 8539 3010 3419 1544 2217 696 952 353
3 1001.0 Massachusetts 2015 1482.0 2.0 19905 214475.0 20518 29.0 44.50 63570.50 15123 928.25 15923 3811 4208 8483 2885 3690 1581 2446 725 956 313
4 1001.0 Massachusetts 2016 1479.0 2.0 20133 212225.0 20714 31.0 44.75 63242.50 15262 766.50 15954 4069 4185 8569 2629 3718 1624 2616 815 856 209
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
131521 99928.0 Alaska 2013 409.0 2.0 3495 309900.0 3523 27.0 43.00 85179.00 2511 1322.00 2747 722 690 1701 351 652 241 363 136 121 6
131522 99928.0 Alaska 2014 477.0 2.0 3450 298600.0 3472 26.0 44.00 82286.00 2497 1258.00 2652 774 617 1643 386 581 219 350 78 113 17
131523 99928.0 Alaska 2015 544.0 2.0 3406 288400.0 3417 23.0 44.00 84417.00 2462 1173.00 2796 580 699 1661 335 604 235 381 53 110 21
131524 99928.0 Alaska 2016 608.0 2.0 3451 296500.0 3459 23.0 43.00 82194.00 2398 1266.00 2798 619 718 1694 410 613 229 373 81 111 35
131525 99928.0 Alaska 2017 617.0 2.0 3475 296600.0 3482 29.0 44.00 82532.00 2443 1418.00 2815 600 734 1698 458 586 238 329 83 122 41

131526 rows × 24 columns

  1. check whether every zip code has 6 rows which are corresponding to 2012-2017
In [24]:
newData.groupby('zip_code').count()
Out[24]:
state Year Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
zip_code
1001.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
1002.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
1003.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
1005.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
1007.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
99919.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
99921.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
99923.0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
99926.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
99928.0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

21948 rows × 23 columns

not really, keep only zipcode which have the full records for the 6 years

In [25]:
full_zips = list(newData.groupby('zip_code').count()[newData.groupby('zip_code').count()['Year']==6].index)
In [26]:
(newData['zip_code'].apply(lambda x: x in full_zips)).sum()
Out[26]:
130890
In [27]:
newData2 = newData[newData['zip_code'].apply(lambda x: x in full_zips)]
In [28]:
newData2
Out[28]:
zip_code state Year Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers
0 1001.0 Massachusetts 2012 1418.0 2.0 19501 224350.0 20043 24.5 43.50 69242.50 14731 888.25 16204 3166 4597 8486 3114 3756 1641 2447 729 937 260
1 1001.0 Massachusetts 2013 1413.0 2.0 19405 222700.0 19968 28.0 44.25 67116.75 14667 834.00 15606 3673 4403 8470 3156 3411 1638 2329 788 1049 323
2 1001.0 Massachusetts 2014 1454.0 2.0 19725 222000.0 20315 28.0 44.50 65012.75 14916 917.50 15901 3678 4455 8539 3010 3419 1544 2217 696 952 353
3 1001.0 Massachusetts 2015 1482.0 2.0 19905 214475.0 20518 29.0 44.50 63570.50 15123 928.25 15923 3811 4208 8483 2885 3690 1581 2446 725 956 313
4 1001.0 Massachusetts 2016 1479.0 2.0 20133 212225.0 20714 31.0 44.75 63242.50 15262 766.50 15954 4069 4185 8569 2629 3718 1624 2616 815 856 209
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
131521 99928.0 Alaska 2013 409.0 2.0 3495 309900.0 3523 27.0 43.00 85179.00 2511 1322.00 2747 722 690 1701 351 652 241 363 136 121 6
131522 99928.0 Alaska 2014 477.0 2.0 3450 298600.0 3472 26.0 44.00 82286.00 2497 1258.00 2652 774 617 1643 386 581 219 350 78 113 17
131523 99928.0 Alaska 2015 544.0 2.0 3406 288400.0 3417 23.0 44.00 84417.00 2462 1173.00 2796 580 699 1661 335 604 235 381 53 110 21
131524 99928.0 Alaska 2016 608.0 2.0 3451 296500.0 3459 23.0 43.00 82194.00 2398 1266.00 2798 619 718 1694 410 613 229 373 81 111 35
131525 99928.0 Alaska 2017 617.0 2.0 3475 296600.0 3482 29.0 44.00 82532.00 2443 1418.00 2815 600 734 1698 458 586 238 329 83 122 41

130890 rows × 24 columns

In [29]:
len(newData2['zip_code'].unique())
Out[29]:
21815

only 21815 zip codes have full records from 2012-2017

Analysis and Modeling

In [30]:
newData2.columns
Out[30]:
Index(['zip_code', 'state', 'Year',
       'Unweighted Sample Count of the population',
       'Avg household size of occupied housing units',
       'Total population in occupied housing units',
       'Median Estimated Home Value(owner occupied units)', 'Total Population',
       'Median Gross rent as % of household inc', 'Median Age',
       'Median Household Income', 'Total Population over 25',
       'Median Gross Rent', 'Homeowner households', 'Renter households',
       'Housing units with mortgage', 'Total housing Units',
       'Number of Sales and office workers',
       'Number of people in management business science and arts',
       'Number of service workers',
       'Number of educational and health service workers',
       'Number of artsentertainment and food service workers',
       'Number of finance and real estate workers', 'Number of tech workers'],
      dtype='object')

What is the desired metrics to look at?

  1. the estimated home value
  2. the gross rent

I'll use these two key metrics to generate a index, simply by multiplying them together. And if this index values are higher, it means the property investment potential is higher in this area.

we need to build a time series model to model the growth of these important metrics

let's take one metric to look into, the growth of the estimated home value

In [31]:
newData2.iloc[0]['Median Estimated Home Value(owner occupied units)']
Out[31]:
224350.0
In [32]:
newData2['index'] = newData2['Median Estimated Home Value(owner occupied units)']*newData2['Median Gross Rent']
In [33]:
newData2
Out[33]:
zip_code state Year Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers index
0 1001.0 Massachusetts 2012 1418.0 2.0 19501 224350.0 20043 24.5 43.50 69242.50 14731 888.25 16204 3166 4597 8486 3114 3756 1641 2447 729 937 260 1.992789e+08
1 1001.0 Massachusetts 2013 1413.0 2.0 19405 222700.0 19968 28.0 44.25 67116.75 14667 834.00 15606 3673 4403 8470 3156 3411 1638 2329 788 1049 323 1.857318e+08
2 1001.0 Massachusetts 2014 1454.0 2.0 19725 222000.0 20315 28.0 44.50 65012.75 14916 917.50 15901 3678 4455 8539 3010 3419 1544 2217 696 952 353 2.036850e+08
3 1001.0 Massachusetts 2015 1482.0 2.0 19905 214475.0 20518 29.0 44.50 63570.50 15123 928.25 15923 3811 4208 8483 2885 3690 1581 2446 725 956 313 1.990864e+08
4 1001.0 Massachusetts 2016 1479.0 2.0 20133 212225.0 20714 31.0 44.75 63242.50 15262 766.50 15954 4069 4185 8569 2629 3718 1624 2616 815 856 209 1.626705e+08
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
131521 99928.0 Alaska 2013 409.0 2.0 3495 309900.0 3523 27.0 43.00 85179.00 2511 1322.00 2747 722 690 1701 351 652 241 363 136 121 6 4.096878e+08
131522 99928.0 Alaska 2014 477.0 2.0 3450 298600.0 3472 26.0 44.00 82286.00 2497 1258.00 2652 774 617 1643 386 581 219 350 78 113 17 3.756388e+08
131523 99928.0 Alaska 2015 544.0 2.0 3406 288400.0 3417 23.0 44.00 84417.00 2462 1173.00 2796 580 699 1661 335 604 235 381 53 110 21 3.382932e+08
131524 99928.0 Alaska 2016 608.0 2.0 3451 296500.0 3459 23.0 43.00 82194.00 2398 1266.00 2798 619 718 1694 410 613 229 373 81 111 35 3.753690e+08
131525 99928.0 Alaska 2017 617.0 2.0 3475 296600.0 3482 29.0 44.00 82532.00 2443 1418.00 2815 600 734 1698 458 586 238 329 83 122 41 4.205788e+08

130890 rows × 25 columns

In [34]:
grouped_data = newData2.groupby('zip_code')
In [35]:
# all the zipcodes
zips = list(grouped_data.groups.keys())
zips
Out[35]:
[1001.0,
 1002.0,
 1003.0,
 1005.0,
 1007.0,
 1009.0,
 1010.0,
 1011.0,
 1013.0,
 1014.0,
 1020.0,
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 1151.0,
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 1822.0,
 1824.0,
 1826.0,
 1827.0,
 1830.0,
 1832.0,
 1833.0,
 1835.0,
 1840.0,
 1841.0,
 1843.0,
 1844.0,
 1845.0,
 1850.0,
 1851.0,
 1852.0,
 1854.0,
 1860.0,
 1862.0,
 1863.0,
 1864.0,
 1867.0,
 1876.0,
 1879.0,
 1880.0,
 1886.0,
 1887.0,
 1890.0,
 1901.0,
 1902.0,
 1904.0,
 1905.0,
 1906.0,
 1907.0,
 1908.0,
 1913.0,
 1915.0,
 1921.0,
 1922.0,
 1923.0,
 1930.0,
 1937.0,
 1938.0,
 1940.0,
 1945.0,
 1949.0,
 1950.0,
 1951.0,
 1952.0,
 1960.0,
 1961.0,
 1966.0,
 1970.0,
 1982.0,
 1984.0,
 1985.0,
 2018.0,
 2021.0,
 2025.0,
 2026.0,
 2027.0,
 2030.0,
 2035.0,
 2038.0,
 2043.0,
 2045.0,
 2048.0,
 2050.0,
 2051.0,
 2052.0,
 2054.0,
 2056.0,
 2059.0,
 2061.0,
 2062.0,
 2065.0,
 2066.0,
 2067.0,
 2071.0,
 2072.0,
 2081.0,
 2090.0,
 2093.0,
 2108.0,
 2109.0,
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 2113.0,
 2114.0,
 2115.0,
 2116.0,
 2118.0,
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 2120.0,
 2121.0,
 2122.0,
 2124.0,
 2125.0,
 2126.0,
 2127.0,
 2128.0,
 2129.0,
 2130.0,
 2131.0,
 2132.0,
 2134.0,
 2135.0,
 2136.0,
 2137.0,
 2138.0,
 2139.0,
 2140.0,
 2141.0,
 2142.0,
 2143.0,
 2144.0,
 2145.0,
 2148.0,
 2149.0,
 2150.0,
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 2152.0,
 2155.0,
 2163.0,
 2169.0,
 2170.0,
 2171.0,
 2176.0,
 2180.0,
 2184.0,
 2186.0,
 2188.0,
 2189.0,
 2190.0,
 2191.0,
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 2809.0,
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In [36]:
s = grouped_data.get_group(1001.0)
s
Out[36]:
zip_code state Year Unweighted Sample Count of the population Avg household size of occupied housing units Total population in occupied housing units Median Estimated Home Value(owner occupied units) Total Population Median Gross rent as % of household inc Median Age Median Household Income Total Population over 25 Median Gross Rent Homeowner households Renter households Housing units with mortgage Total housing Units Number of Sales and office workers Number of people in management business science and arts Number of service workers Number of educational and health service workers Number of artsentertainment and food service workers Number of finance and real estate workers Number of tech workers index
0 1001.0 Massachusetts 2012 1418.0 2.0 19501 224350.0 20043 24.50 43.50 69242.50 14731 888.25 16204 3166 4597 8486 3114 3756 1641 2447 729 937 260 1.992789e+08
1 1001.0 Massachusetts 2013 1413.0 2.0 19405 222700.0 19968 28.00 44.25 67116.75 14667 834.00 15606 3673 4403 8470 3156 3411 1638 2329 788 1049 323 1.857318e+08
2 1001.0 Massachusetts 2014 1454.0 2.0 19725 222000.0 20315 28.00 44.50 65012.75 14916 917.50 15901 3678 4455 8539 3010 3419 1544 2217 696 952 353 2.036850e+08
3 1001.0 Massachusetts 2015 1482.0 2.0 19905 214475.0 20518 29.00 44.50 63570.50 15123 928.25 15923 3811 4208 8483 2885 3690 1581 2446 725 956 313 1.990864e+08
4 1001.0 Massachusetts 2016 1479.0 2.0 20133 212225.0 20714 31.00 44.75 63242.50 15262 766.50 15954 4069 4185 8569 2629 3718 1624 2616 815 856 209 1.626705e+08
5 1001.0 Massachusetts 2017 1390.0 2.0 19835 210925.0 20406 31.75 45.00 63533.25 15332 1011.75 15843 3852 4259 8658 2281 3937 1664 2717 728 839 198 2.134034e+08
In [37]:
plt.plot(s['index'])
Out[37]:
[<matplotlib.lines.Line2D at 0x7fc5c975e050>]

Use time series ARIMA model to predict the metric value of up to 2023

In [38]:
from statsmodels.tsa.statespace.sarimax import SARIMAX
In [50]:
y = s['index']
In [55]:
ARMAmodel = SARIMAX(y, order = (1, 0, 0))
ARMAmodel = ARMAmodel.fit()
In [56]:
pred_index=[2018, 2019, 2020, 2021, 2022, 2023]
In [57]:
y_pred = ARMAmodel.get_forecast(len(pred_index))
y_pred_df = y_pred.conf_int(alpha = 0.05) 
predictions= ARMAmodel.predict(start = y_pred_df.index[0], end = y_pred_df.index[-1])
In [58]:
list(predictions)[-1]
Out[58]:
200303582.03728172

Make this modeling part to a function, so we can reuse it for each zipcode and make predictions

In [59]:
# take into one parameter, zipcode
def model_each_zip(zipcode, col):
    # retrieve the data frame of that zipcode
    data = grouped_data.get_group(zipcode)
    y = data[col]
    ARMAmodel = SARIMAX(y, order = (1, 0, 0))
    ARMAmodel = ARMAmodel.fit()
    pred_index=[2018, 2019, 2020, 2021, 2022, 2023]
    y_pred = ARMAmodel.get_forecast(len(pred_index))
    y_pred_df = y_pred.conf_int(alpha = 0.05) 
    predictions= ARMAmodel.predict(start = y_pred_df.index[0], end = y_pred_df.index[-1])
    # return only the prediction for 2023, since we are approaching the end of 2022
    return list(predictions)[-1]
Store the prediction of index for 2023 into a dictionary
In [60]:
dictionary_index = {}


for zip_code in zips:
    dictionary_index[zip_code] = model_each_zip(zip_code, 'index')

/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:568: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals
  "Check mle_retvals", ConvergenceWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.
  ' ignored when e.g. forecasting.', ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)
/Users/zhangshuhan/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:583: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.
  ValueWarning)

The top 10 zip codes with their corresponding index values

In [61]:
top_10 = sorted(dictionary_index.items(), key=lambda x: x[1], reverse=True)[:10]
top_10_zips = [zip_code[0] for zip_code in top_10]
In [62]:
top_10_zips
Out[62]:
[92652.0,
 94024.0,
 94027.0,
 10577.0,
 10043.0,
 94022.0,
 94020.0,
 94301.0,
 90272.0,
 94925.0]

check the information about these states

  1. state
In [63]:
for zip_code in top_10_zips:
    print(newData2[newData2['zip_code'] == zip_code]['state'].unique())

['California']
['California']
['California']
['New York']
['New York']
['California']
['California']
['California']
['California']
['California']

The top 10 zip codes are almost all from the same state. Out of the 10 zips, 6 zip codes are close to each other.

  1. home value trend for each of the 10 zip codes
In [75]:
for zip_code in top_10_zips:
    d = grouped_data.get_group(zip_code)[['Year', 'Median Estimated Home Value(owner occupied units)']]                       
    d.plot(x='Year', y='Median Estimated Home Value(owner occupied units)')
  1. median gross rent trend for each of the 10 zip codes
In [65]:
for zip_code in top_10_zips:
    d = grouped_data.get_group(zip_code)[['Year', 'Median Gross Rent']]
    d.plot(x='Year', y='Median Gross Rent')

Closeness of zip codes

Build a KMeans model to do clustering of the census data.

In [66]:
from sklearn.cluster import KMeans
In [67]:
newData2.columns
Out[67]:
Index(['zip_code', 'state', 'Year',
       'Unweighted Sample Count of the population',
       'Avg household size of occupied housing units',
       'Total population in occupied housing units',
       'Median Estimated Home Value(owner occupied units)', 'Total Population',
       'Median Gross rent as % of household inc', 'Median Age',
       'Median Household Income', 'Total Population over 25',
       'Median Gross Rent', 'Homeowner households', 'Renter households',
       'Housing units with mortgage', 'Total housing Units',
       'Number of Sales and office workers',
       'Number of people in management business science and arts',
       'Number of service workers',
       'Number of educational and health service workers',
       'Number of artsentertainment and food service workers',
       'Number of finance and real estate workers', 'Number of tech workers',
       'index'],
      dtype='object')
In [68]:
kmeans = KMeans(n_clusters=4, random_state=0).fit(newData2[['zip_code','Unweighted Sample Count of the population',
       'Avg household size of occupied housing units',
       'Total population in occupied housing units',
       'Median Estimated Home Value(owner occupied units)', 'Total Population',
       'Median Gross rent as % of household inc', 'Median Age',
       'Median Household Income', 'Total Population over 25',
       'Median Gross Rent', 'Homeowner households', 'Renter households',
       'Housing units with mortgage', 'Total housing Units',
       'Number of Sales and office workers',
       'Number of people in management business science and arts',
       'Number of service workers',
       'Number of educational and health service workers',
       'Number of artsentertainment and food service workers',
       'Number of finance and real estate workers', 'Number of tech workers',
       'index']])
In [69]:
labels = kmeans.labels_
centroids = kmeans.cluster_centers_

newData2['Cluster_assignment'] = labels

Get the top 10 zip code rows out and see whether they are in the same cluster

In [70]:
grouped_data
Out[70]:
<pandas.core.groupby.generic.DataFrameGroupBy object at 0x7fc5c707b1d0>
In [73]:
for zip_code in top_10_zips:
    print("Zip Code: ",zip_code)
    print(newData2[newData2['zip_code']==zip_code][['Year','Cluster_assignment']])

Zip Code:  92652.0
        Year  Cluster_assignment
120863  2012                   1
120864  2013                   1
120865  2014                   1
120866  2015                   3
120867  2016                   3
120868  2017                   3
Zip Code:  94024.0
        Year  Cluster_assignment
122804  2012                   1
122805  2013                   1
122806  2014                   1
122807  2015                   3
122808  2016                   3
122809  2017                   3
Zip Code:  94027.0
        Year  Cluster_assignment
122816  2012                   1
122817  2013                   1
122818  2014                   1
122819  2015                   3
122820  2016                   3
122821  2017                   3
Zip Code:  10577.0
       Year  Cluster_assignment
11391  2012                   1
11392  2013                   1
11393  2014                   1
11394  2015                   3
11395  2016                   3
11396  2017                   3
Zip Code:  10043.0
       Year  Cluster_assignment
10803  2012                   1
10804  2013                   1
10805  2014                   1
10806  2015                   3
10807  2016                   3
10808  2017                   3
Zip Code:  94022.0
        Year  Cluster_assignment
122798  2012                   1
122799  2013                   1
122800  2014                   1
122801  2015                   3
122802  2016                   3
122803  2017                   3
Zip Code:  94020.0
        Year  Cluster_assignment
122792  2012                   1
122793  2013                   1
122794  2014                   1
122795  2015                   3
122796  2016                   3
122797  2017                   3
Zip Code:  94301.0
        Year  Cluster_assignment
123116  2012                   1
123117  2013                   1
123118  2014                   1
123119  2015                   3
123120  2016                   3
123121  2017                   3
Zip Code:  90272.0
        Year  Cluster_assignment
117643  2012                   1
117644  2013                   1
117645  2014                   1
117646  2015                   3
117647  2016                   3
117648  2017                   3
Zip Code:  94925.0
        Year  Cluster_assignment
123914  2012                   1
123915  2013                   1
123916  2014                   1
123917  2015                   3
123918  2016                   3
123919  2017                   3

We can see that, for each individual year, the top 10 zip codes which are physically close to each other are bascially assigned to the same cluster.

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